871229952 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 263761920.

The previous prime is 871229941. The next prime is 871229963. The reversal of 871229952 is 259922178.

It is a happy number.

871229952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (871229941) and next prime (871229963).

Its product of digits (181440) is a multiple of the sum of its prime divisors (162).

It is a junction number, because it is equal to n+sod(n) for n = 871229898 and 871229907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8142283 + ... + 8142389.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^871229952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871229952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

871229952 is an abundant number, since it is smaller than the sum of its proper divisors (1957160448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

871229952 is a wasteful number, since it uses less digits than its factorization.

871229952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 162 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 871229952 is about 29516.6046827883. The cubic root of 871229952 is about 955.0899294899.

The spelling of 871229952 in words is "eight hundred seventy-one million, two hundred twenty-nine thousand, nine hundred fifty-two".